You have to be a premium member and own your own website for it to get indexed by google. not the free site, hope this helps you all

How many posts do you have? How many pages? What kind of keywords have you targeted in your posts? What's your niche?

It should take a couple of weeks, obviously something is wrong, did you set up all in one seo?

I'm asking this because usually when all in one is set up, it should help index your site.

My website has been running for more than 2 months but it shows that index is No.

A few days to a couple of weeks in most cases. The spiders have to find you. John

This should help Cancel Wealthy Affiliate Membership and Stop Billing

You can cancel of course st any time, but to clairify, what do you mean by you've decided to wait until your website is running? As in running on its own? You have to be actively running it for it to be successful. Much, much later you can get to a point through automation that you could say it's running on its own. But that point won't come in the near future. You have to stay active with it creating content, atleast 2-3 posts per week.

You will have to move your website or domain if you're going to be gone for more than 30 days. You can't go back to the starter membership. Here's How To Cancel Your Premium Membership Can You Cancel A WA Premium Membership And Come Back?

If you're under age then you would need parental permission.

I believe just about any age.
I have seen underage members here at WA :-)